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Analytic Relations between Localizable Entanglement and String Correlations in Spin Systems

2005/03/31 by Lorenzo Campos Venuti, L. Campos Venuti, M. Roncaglia · 1 citation
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum many-body systems #cond-mat.other #cond-mat.str-el #quant-ph

paper · pdf · doi:10.1103/physrevlett.94.207207

published as Phys. Rev. Lett. 94, 207207 (2005). · 5 pages, RevTeX4

arxiv created 2005/04/11 · openalex publication_date 2005/05/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the relation between the recently defined localizable entanglement and generalized correlations in quantum spin systems. Differently from the current belief, the localizable entanglement is always given by the average of a generalized string. Using symmetry arguments we show that in most spin-1/2 and spin-1 systems the localizable entanglement reduces to the spin-spin or string correlations, respectively. We prove that a general class of spin-1 systems, which includes the Heisenberg model, can be used as a perfect quantum channel. These conclusions are obtained in analytic form and confirm some results found previously on numerical grounds.

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